Entanglement and dynamics of spin-chains in periodically-pulsed magnetic fields: accelerator modes

Abstract

We study the dynamics of a single excitation in a Heisenberg spin-chain subjected to a sequence of periodic pulses from an external, parabolic, magnetic field. We show that, for experimentally reasonable parameters, a pair of counter-propagating coherent states are ejected from the centre of the chain. We find an illuminating correspondence with the quantum time evolution of the well-known paradigm of quantum chaos, the Quantum Kicked Rotor (QKR). From this we can analyse the entanglement production and interpret the ejected coherent states as a manifestation of so-called `accelerator modes' of a classically chaotic system.

5 pages, 2 figures; minor corrections, tidied presentation

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• Long-lasting Exponential Spreading in Periodically Driven Quantum Systems
• Quantum Signature of Chaos and Thermalization in Kicked Dicke Model
• Simple harmonic oscillation in non-Hermitian SSH chain at exceptional point
• Landau-Majorana-Stuckelberg-Zener dynamics driven by coupling for two interacting qutrit systems
• Dzyaloshinskii-Moriya and dipole-dipole interactions affect coupling-based Landau-Majorana-Stückelberg-Zener transitions
• Entanglement propagation through spin chains in the presence of a staggered magnetic field
• Quantum and Classical Superballistic Transport in a Relativistic Kicked-Rotor System
• Fast Converging Path Integrals for Time-Dependent Potentials I: Recursive Calculation of Short-Time Expansion of the Propagator
• Dynamic generation of entangling wave packets in XY spin system with decaying long range couplings
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• Quantum transport and spin dynamics on shearless tori
• Doubly excited ferromagnetic spin-chain as a pair of coupled kicked rotors
• Protecting Quantum Information via Many-Body Dynamical Localization
• Quantum teleportation by utilizing helical spin chains for sharing entanglement